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Finding the Fourth Proportional to 1,600.34, 2,400.51 and 1,054.95

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Solution

The fourth proportional to 1,600.34, 2,400.51 and 1,054.95 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.34 : 2,400.51 = 1,054.95 : x
  2. Step 2: Convert to fraction form
    1,600.34/2,400.51 = 1,054.95/x
  3. Step 3: Cross multiply
    1,600.34x = 2,400.51 × 1,054.95
  4. Step 4: Simplify right side
    1,600.34x = 2,532,418.75
  5. Step 5: Solve for x
    x = 2,532,418.75/1,600.34
  6. Step 6: Final answer
    x = 1,582.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.